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134430016 = 2671719929
BaseRepresentation
bin10000000001100…
…11110101000000
3100100221202022111
420000303311000
5233403230031
621201145104
73221431150
oct1000636500
9310852274
10134430016
1169978296
123902b194
1321b09cb6
1413bd4760
15bc061b1
hex8033d40

134430016 has 112 divisors (see below), whose sum is σ = 340156800. Its totient is φ = 51314688.

The previous prime is 134430013. The next prime is 134430029. The reversal of 134430016 is 610034431.

134430016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134430013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144240 + ... + 145168.

Almost surely, 2134430016 is an apocalyptic number.

134430016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170078400).

134430016 is an abundant number, since it is smaller than the sum of its proper divisors (205726784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134430016 is a wasteful number, since it uses less digits than its factorization.

134430016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 134430016 is about 11594.3958876692. The cubic root of 134430016 is about 512.2697959584.

Adding to 134430016 its reverse (610034431), we get a palindrome (744464447).

The spelling of 134430016 in words is "one hundred thirty-four million, four hundred thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 133 136 152 224 238 266 272 304 323 448 476 532 544 608 646 929 952 1064 1088 1216 1292 1858 1904 2128 2261 2584 3716 3808 4256 4522 5168 6503 7432 7616 8512 9044 10336 13006 14864 15793 17651 18088 20672 26012 29728 31586 35302 36176 52024 59456 63172 70604 72352 104048 110551 123557 126344 141208 144704 208096 221102 247114 252688 282416 300067 416192 442204 494228 505376 564832 600134 884408 988456 1010752 1129664 1200268 1768816 1976912 2100469 2400536 3537632 3953824 4200938 4801072 7075264 7907648 8401876 9602144 16803752 19204288 33607504 67215008 134430016